InterviewSolution
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InterviewSolution
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An aeroplane is flying with velocity ` vec v_p = 100 ms^(-1)` towards East with respect to ground through motionless air and ` vec v_w` is the wind velocity with respect of ground. The total velocity of aeroplane is ` vec v=vec v_P+ vec v_w` The magnitude of the velocity is often called speed . the heading of the plane is the direction in which the nose of the plane points. In fact, it is the direction in which the engine propels the plane . Answer the following questions : If ` theta` is the answer to question ` 15 6`, the total speed of the plane in ` ms^(-1)` is.A. ` 100 sin theta`B. ` 100 cos theta`C. ` 100 cosec theta `D. `100 sec theta` |
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Answer» Correct Answer - D Goven, ` tan theta = (25)/(100) = 1/4` , ` cos theta 4/(sqrt( 4^2 +1^2) = 4/(sqrt17)` Resultant speed of the plance, ` v= sqrt (v_P^2 +v_w^2) = sqrt ( 100^2 + 25^@)` `= sqrt (25^2 +4^2 25^2) = 25 sqrt 17 ms^(-1)` :.` v = (25 sqrt 17)/(cos theta) xx cos theta = (25sqrt17)/( cos theta) xx 4/(sqrt 170 = ( 100)/(cos theta)`. |
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